Hardy type unique continuation properties for abstract Schrödinger equations and applications
In this paper, Hardy's uncertainty principle and unique continuation properties of Schrödinger equations with operator potentials in Hilbert space-valued $L^{2}$ classes are obtained. Since the Hilbert space $H$ and linear operators are arbitrary, by choosing the appropriate spaces and operator...
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University of Szeged
2019-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8072 |
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doaj-7d29b2e4ea86461d98bec26fe300e12f2021-07-14T07:21:33ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752019-12-0120199712710.14232/ejqtde.2019.1.978072Hardy type unique continuation properties for abstract Schrödinger equations and applicationsVeli Shakhmurov0Okan University, Engineering Faculty, Akfirat 34959, Istanbul, TurkeyIn this paper, Hardy's uncertainty principle and unique continuation properties of Schrödinger equations with operator potentials in Hilbert space-valued $L^{2}$ classes are obtained. Since the Hilbert space $H$ and linear operators are arbitrary, by choosing the appropriate spaces and operators we obtain numerous classes of Schrödinger type equations and its finite and infinite many systems which occur in a wide variety of physical systems.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8072schrödinger equationspositive operatorsgroups of operatorsunique continuationhardy's uncertainty principle |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Veli Shakhmurov |
| spellingShingle |
Veli Shakhmurov Hardy type unique continuation properties for abstract Schrödinger equations and applications Electronic Journal of Qualitative Theory of Differential Equations schrödinger equations positive operators groups of operators unique continuation hardy's uncertainty principle |
| author_facet |
Veli Shakhmurov |
| author_sort |
Veli Shakhmurov |
| title |
Hardy type unique continuation properties for abstract Schrödinger equations and applications |
| title_short |
Hardy type unique continuation properties for abstract Schrödinger equations and applications |
| title_full |
Hardy type unique continuation properties for abstract Schrödinger equations and applications |
| title_fullStr |
Hardy type unique continuation properties for abstract Schrödinger equations and applications |
| title_full_unstemmed |
Hardy type unique continuation properties for abstract Schrödinger equations and applications |
| title_sort |
hardy type unique continuation properties for abstract schrödinger equations and applications |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2019-12-01 |
| description |
In this paper, Hardy's uncertainty principle and unique continuation properties of Schrödinger equations with operator potentials in Hilbert space-valued $L^{2}$ classes are obtained. Since the Hilbert space $H$ and linear operators are arbitrary, by choosing the appropriate spaces and operators we obtain numerous classes of Schrödinger type equations and its finite and infinite many systems which occur in a wide variety of physical systems. |
| topic |
schrödinger equations positive operators groups of operators unique continuation hardy's uncertainty principle |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8072 |
| work_keys_str_mv |
AT velishakhmurov hardytypeuniquecontinuationpropertiesforabstractschrodingerequationsandapplications |
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